On relations for the $q$-multiple zeta values

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We prove some relations for the $q$-multiple zeta values ($q$MZV). They are $q$-analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier relation for the multiple zeta values (MZV). We discuss the problem to determine the dimension of the space spanned by $q$MZV's over $\Q$, and present an application to MZV.
16 pages

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Quantum Algebra, Number Theory, 05A30, 11B65, 33D15

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http://salesiana.dossiersoluciones.com/handle/123456789/70116

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402152
 http://arxiv.org/abs/math/0402152

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arXiv